Professor Department of Mathematics American University of Beirut |
Office | 310 Bliss |
Phone | 4233 |
bshayya (at) aub (dot) edu (dot) lb | |
Photo | B. Shayya |
Mailing Address | American University of Beirut P.O. Box 11-0236 / Mathematics Riad El-Solh / Beirut 1107 2020 Lebanon |
Office Hours | 12:00 – 12:50 MWF |
Teaching |
- Spring 2021: Calculus and Analytic Geometry III (Math 201), Measure and Integration (Math 303)
- All semesters
Research |
Research area: Harmonic analysis
Articles published or submitted:
- Fourier restriction in low fractal dimensions, accepted for publication in Proceedings of the Edinburgh Mathematical Society.
Preprint available at arXiv:1905.09513. - Weighted restriction estimates using polynomial partitioning, Proceedings of the London Mathematical Society, 115 (2017), no. 3, 545–598; doi: 10.1112/plms.12046.
Preprint available at arXiv:1512.03238. - Variants of the Mattila integral, measures with nonnegative Fourier transforms, and the distance set problem, Transactions of the American Mathematical Society, 368 (2016), no. 4, 2623–2644.
Preprint available here. - When the cone in Bochner’s theorem has an opening less than {pi}, Bulletin of the London Mathematical Society, 44 (2012), no. 2, 207–221;
doi: 10.1112/blms/bdr087. - The WAT conjecture on the torus, Proceedings of the American Mathematical Society, 139 (2011), no. 10, 3633–3643.
- Measures with Fourier transforms in L^2 of a half-space, Canadian Mathematical Bulletin, 54 (2011), no. 1, 172–179.
- Affine restriction for radial surfaces, Mathematische Zeitschrift, 262 (2009), no. 1, 41–55.
- Non-homogeneous strongly singular integrals, Studia Mathematica, 187 (2008), no. 3, 265–280.
- An affine restriction estimate in R^3, Proceedings of the American Mathematical Society, 135 (2007), no. 4, 1107–1113.
- Fourier restriction to convex surfaces of revolution in R^3 (with F. Abi-Khuzam), Publicacions Matemàtiques, 50 (2006), 71–85.
- Spherical means associated with non-isotropic dilation groups (with F. Abi-Khuzam), Results in Mathematics, 45 (2004), 195–200.
- Adjoint restriction estimates and scaling on spheres, Proceedings of the American Mathematical Society, 132 (2004), no. 5, 1517–1524.
- A class of non-homogeneous singular integrals in R^n (with F. Abi-Khuzam), Journal of Mathematical Analysis and Applications, 288 (2003), 274–284.
- Nonisotropic strongly singular integral operators, Transactions of the American Mathematical Society, 354 (2002), no. 12, 4893–4907.
- A sharp norm inequality for non-isotropic distance functions on R^n (with F. Abi-Khuzam), Mathematical Inequalities and Applications, 5 (2002), no. 3, 361–368.
- Singular integrals with nonhomogeneous oscillatory kernels, Indiana University Math Journal 50 (2001), no. 2, 1015–1025.
- On a singular integral estimate for the maximum modulus of a canonical product (with F. Abi-Khuzam), Illinois Journal of Math 44 (2000), no. 3, 551–555.
Preprints:
- A remark on the WAT conjecture (with F. Abi-Khuzam), preprint, 2009. pdf